Search a number
-
+
144223023120 = 243511471162339
BaseRepresentation
bin1000011001010001011…
…1001011000000010000
3111210021011001200101220
42012110113023000100
54330332043214440
6150131035525040
713263660320031
oct2062427130020
9453234050356
10144223023120
115618a1559a0
1223b4bbb9780
13107a576c147
146da2438a88
153b4184c8d0
hex21945cb010

144223023120 has 160 divisors (see below), whose sum is σ = 498113832960. Its totient is φ = 34219230720.

The previous prime is 144223023079. The next prime is 144223023137. The reversal of 144223023120 is 21320322441.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 457090 + ... + 705249.

It is an arithmetic number, because the mean of its divisors is an integer number (3113211456).

Almost surely, 2144223023120 is an apocalyptic number.

144223023120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

144223023120 is an abundant number, since it is smaller than the sum of its proper divisors (353890809840).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

144223023120 is a wasteful number, since it uses less digits than its factorization.

144223023120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1162413 (or 1162407 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 24.

Adding to 144223023120 its reverse (21320322441), we get a palindrome (165543345561).

The spelling of 144223023120 in words is "one hundred forty-four billion, two hundred twenty-three million, twenty-three thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 11 12 15 16 20 22 24 30 33 40 44 47 48 55 60 66 80 88 94 110 120 132 141 165 176 188 220 235 240 264 282 330 376 440 470 517 528 564 660 705 752 880 940 1034 1128 1320 1410 1551 1880 2068 2256 2585 2640 2820 3102 3760 4136 5170 5640 6204 7755 8272 10340 11280 12408 15510 20680 24816 31020 41360 62040 124080 1162339 2324678 3487017 4649356 5811695 6974034 9298712 11623390 12785729 13948068 17435085 18597424 23246780 25571458 27896136 34870170 38357187 46493560 51142916 54629933 55792272 63928645 69740340 76714374 92987120 102285832 109259866 127857290 139480680 153428748 163889799 191785935 204571664 218519732 255714580 273149665 278961360 306857496 327779598 383571870 437039464 511429160 546299330 600929263 613714992 655559196 767143740 819448995 874078928 1022858320 1092598660 1201858526 1311118392 1534287480 1638897990 1802787789 2185197320 2403717052 2622236784 3004646315 3068574960 3277795980 3605575578 4370394640 4807434104 6009292630 6555591960 7211151156 9013938945 9614868208 12018585260 13111183920 14422302312 18027877890 24037170520 28844604624 36055755780 48074341040 72111511560 144223023120